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Finding the Fourth Proportional to 17,695.32, 26,543.10 and 6,458.68

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Solution

The fourth proportional to 17,695.32, 26,543.10 and 6,458.68 is: 9,688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,695.32 : 26,543.10 = 6,458.68 : x
  2. Step 2: Convert to fraction form
    17,695.32/26,543.10 = 6,458.68/x
  3. Step 3: Cross multiply
    17,695.32x = 26,543.10 × 6,458.68
  4. Step 4: Simplify right side
    17,695.32x = 171,433,389.11
  5. Step 5: Solve for x
    x = 171,433,389.11/17,695.32
  6. Step 6: Final answer
    x = 9,688.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.